Details

Time bar (total: 10.8s)

sample33.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify23.0ms

Calls
1 calls:
Slowest
23.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ x (+ x 1))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
6×associate-/r*
5×add-sqr-sqrt add-cube-cbrt add-log-exp
4×pow1 add-exp-log associate-/r/
3×add-cbrt-cube insert-posit16 div-inv
2×clear-num frac-2neg flip3-+ flip-+ distribute-lft-out
1×+-commutative rec-exp sum-log flip3-- frac-add pow-flip flip-- inv-pow
Calls
3 calls:
Slowest
6.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
1.0ms
(/ 1 (- x 1))
1.0ms
(/ x (+ x 1))

series52.0ms

Calls
3 calls:
Slowest
27.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
15.0ms
(/ x (+ x 1))
10.0ms
(/ 1 (- x 1))

simplify1.1s

Calls
25 calls:
Slowest
136.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
125.0ms
(+ (* 1 (+ x 1)) (* (- x 1) x))
87.0ms
(- (+ x (+ (pow x 2) 1)))
81.0ms
(- (+ x (pow x 3)) (pow x 2))
75.0ms
(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))

prune430.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (+ x 1) x))
0.0b
(/ 1 (- x 1))
0.0b
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
0.0b
(/ (+ x 1) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×div-inv
7×add-sqr-sqrt associate-/r* add-cube-cbrt
6×pow1 add-exp-log add-log-exp
4×add-cbrt-cube insert-posit16 distribute-lft-out
3×clear-num frac-2neg associate-/r/ associate-/l*
2×rec-exp flip3-+ flip-+ pow-flip inv-pow associate-/l/
1×+-commutative sum-log flip3-- frac-add flip--
Calls
4 calls:
Slowest
10.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
3.0ms
(/ (+ x 1) x)
2.0ms
(/ 1 (/ (+ x 1) x))
2.0ms
(/ 1 (- x 1))

series81.0ms

Calls
4 calls:
Slowest
31.0ms
(/ (+ x 1) x)
28.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
12.0ms
(/ 1 (- x 1))
10.0ms
(/ 1 (/ (+ x 1) x))

simplify1.5s

Calls
34 calls:
Slowest
267.0ms
(* (- x 1) (/ (+ x 1) x))
175.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
157.0ms
(+ (* 1 (/ (+ x 1) x)) (* (- x 1) 1))
79.0ms
(- (+ x (+ (pow x 2) 1)))
76.0ms
(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))

prune611.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (+ x 1) x))
0.1b
(/ 1 (/ (+ x 1) x))
0.1b
(/ 1 (/ (+ x 1) x))
0.0b
(/ 1 (- x 1))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-/r*
8×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
7×div-inv
5×associate-/r/
4×rec-exp clear-num frac-2neg add-cbrt-cube insert-posit16 pow-flip inv-pow add-log-exp
1×flip3-- flip--
Calls
4 calls:
Slowest
1.0ms
(/ 1 (/ (+ x 1) x))
1.0ms
(/ 1 (/ (+ x 1) x))
1.0ms
(/ 1 (/ (+ x 1) x))
1.0ms
(/ 1 (- x 1))

series55.0ms

Calls
4 calls:
Slowest
15.0ms
(/ 1 (/ (+ x 1) x))
15.0ms
(/ 1 (/ (+ x 1) x))
14.0ms
(/ 1 (/ (+ x 1) x))
10.0ms
(/ 1 (- x 1))

simplify1.1s

Calls
33 calls:
Slowest
97.0ms
(- (+ x (pow x 3)) (pow x 2))
96.0ms
(- (+ x (pow x 3)) (pow x 2))
94.0ms
(- (+ x (+ (pow x 2) 1)))
79.0ms
(- (+ (/ 1 (pow x 2)) 1) (/ 1 x))
67.0ms
(- (+ x (pow x 3)) (pow x 2))

prune905.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ 1 (- x 1)))
0.3b
(cbrt (/ 1 (- x 1)))
0.3b
(cbrt (/ 1 (- x 1)))
0.3b
(* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×associate-/r/
9×pow1 associate-*r* associate-*l*
7×cbrt-div pow1/3
6×add-exp-log
5×flip3-- div-inv flip--
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
6.0ms
(* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1))))
1.0ms
(cbrt (/ 1 (- x 1)))
1.0ms
(cbrt (/ 1 (- x 1)))
1.0ms
(cbrt (/ 1 (- x 1)))

series190.0ms

Calls
4 calls:
Slowest
54.0ms
(* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1))))
49.0ms
(cbrt (/ 1 (- x 1)))
48.0ms
(cbrt (/ 1 (- x 1)))
39.0ms
(cbrt (/ 1 (- x 1)))

simplify2.7s

Calls
63 calls:
Slowest
356.0ms
(+ (* (pow (/ 1 (pow x 2)) 1/3) (pow (cbrt -1) 2)) (+ (* 2/3 (* (pow (/ 1 (pow x 5)) 1/3) (pow (cbrt -1) 2))) (* 5/9 (* (pow (/ 1 (pow x 8)) 1/3) (pow (cbrt -1) 2)))))
187.0ms
(+ (* 1/3 (* x (pow -1 1/3))) (+ (* 2/9 (* (pow x 2) (pow -1 1/3))) (pow -1 1/3)))
184.0ms
(+ (* 2/9 (* (pow (/ -1 (pow x 7)) 1/3) (cbrt -1))) (+ (* (pow (/ -1 x) 1/3) (cbrt -1)) (* 1/3 (* (pow (/ -1 (pow x 4)) 1/3) (cbrt -1)))))
179.0ms
(+ (* 2/9 (* (pow (/ -1 (pow x 7)) 1/3) (cbrt -1))) (+ (* (pow (/ -1 x) 1/3) (cbrt -1)) (* 1/3 (* (pow (/ -1 (pow x 4)) 1/3) (cbrt -1)))))
178.0ms
(+ (* 2/9 (* (pow (/ -1 (pow x 7)) 1/3) (cbrt -1))) (+ (* (pow (/ -1 x) 1/3) (cbrt -1)) (* 1/3 (* (pow (/ -1 (pow x 4)) 1/3) (cbrt -1)))))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch4.0ms

end0.0ms

sample874.0ms

Algorithm
intervals
Results
752.0ms8000×body80valid